Attempt all the questions.
[10×1 = 10]a. What is the 2's complement of (10110100)₂?
b. Convert (9F)₁₆ to decimal.
c. What is the difference between a latch and a flip-flop?
d. Write the Boolean expression for an Ex-NOR gate.
e. What is a min-term? Give an example for three variables A, B, C.
f. What is synchronous counter?
g. What is a Full Adder? Write its sum output expression.
h. What is the purpose of a multiplexer?
i. What is register?
j. What is a Ripple counter? State one disadvantage.
Attempt any SIX questions.
[6×5 = 30]What is 2's complement? Subtract (10110)₂ − (01011)₂ using 2's complement method.
Define Half Adder and Full Adder. Design a Full Adder circuit with its truth table, Boolean expressions, and logic diagram.
Explain D flip flop with characteristics table, equation and logical circuit.
Design full adder with truth table logical expression and logical circuit.
What is a Decoder? Explain a 2:4 Decoder with its block diagram, truth table, and logic circuit.
Prove De Morgan's second theorem (A · B)' = A' + B' using a truth table. Also realize a basic AND gate using NAND gates only.
What is shift register? Explain different types of shift register.
Attempt any TWO questions.
[2×10 = 20]Minimize the following function using K-Map and Tabulation method respectively
F(A,B,C,D) = Σ m(0,1,4,5,8,9,11)
Design a 3-bit synchronous up counter using T flip-flops. Show the state diagram, state table, excitation table, Boolean expressions for inputs, and the complete logic diagram.
Design a combinational circuit with three inputs (X, Y, Z) and three outputs (A, B, C). When the binary input (X, Y, Z) is 0, 1, 2 or 3, the binary output is one greater than the input. When the binary input is 4, 5, 6 or 7, the binary output is one less than the input. Write the Truth Table for the inputs and outputs. Simplify the resulting expressions for A, B and C outputs (use algebra or maps).
